Answer:
[tex]{ \tt{line : x = 2y + 5}} \\ { \tt{circle : {x}^{2} + {y}^{2} = 5}} \\ substitute \: line \: in \: circle \\ { \tt{ {(2y + 5)}^{2} + {y}^{2} = 5 }} \\ { \tt{4 {y}^{2} + 20y + 25 + {y}^{2} = 5}} \\ { \tt{5 {y}^{2} + 20y + 20 = 0 }} \\ { \tt{ {y}^{2} + 4y + 4 = 0 }} \\ y = - 2 \\ x = 2( - 2) + 5 = 1 \\ { \tt{centre = ( - 1, \: 2)}} \\ { \tt{radius = 5 \: units}} \\ hence \: proved[/tex]
Answer:
radius 5
centre -1,2
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 157°. Find the value of x
Answer:
x=67
Step-by-step explanation:
180-157 = 23
180-90-23 = 67
x = 67
Answer:
Recall ...
Angles on a straight Line Total to 180°
So
The angle at the Tip of the triangle = 180-157
=23°.
Now 23 is a part of the triangle...
Recall also..
Total angles in a triangle also Total to 180°.
Now that's a Right angled Triangle...
There's the 90° Angle present
So Total angle =
90° + x° + 23° =180
x=180° – (23+90)
x=67°.
Which equation is perpendicular
Answer:
option A
Step-by-step explanation:
[tex]y - 9 = \frac{2}{3} (x + 7)\\\\ y - 9= \frac{2}{3} x + \frac{14}{3}\\\\ y = \frac{2}{3} x + \frac{14}{3} + 9\\\\y = \frac{2}{3}x + \frac{14 +27}{3}\\\\y = \frac{2}{3}x + \frac{41}{3}\\\\[/tex]
Therefore, slope of the given line is
[tex]m_ 1 = \ \frac{2}{3}[/tex]
Find the slope of the new line
The product of slope of lines perpendicular to each other = - 1
That is ,
[tex]m_ 1 \times m_2 = - 1\\\\\frac{2}{3} \times m_ 2 = - 1\\\\m_ 2 = - \frac{3}{2}[/tex]
Find the equation of the line.
[tex]Let \the \ given \ points \ be \ ( x_ 2 , y _ 2 ) = ( 2 , 3 ) \\\\(y- y_2) = m_2 (x - x_ 2)\\\\( y - 3 ) = - \frac{3}{2}(x - 2)\\\\y = -\frac{3}{2}x + \frac{3 \times 2}{2} + 3\\\\y = - \frac{3}{2} x +3+3\\\\y = - \frac{3}{2} x +6\\\\[/tex]
1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?
Answer:
1. The new weight of elephant is 5.342 tones.
3. The number of red flowers are 280.
Step-by-step explanation:
1. weight of elephant = 6 tons
weight lost = 1450 pounds
As , 1 pound = 0.000454 ton
So, 1450 pounds = 0.658 ton
The new weight of elephant is
= 6 - 0.658 = 5.342 tones
3.
red flower to the yellow flower is 5 : 7
Number of yellow flowers = 392
Let the red flowers are R.
So,
[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]
Help me please! I will give brainliest!
Answer:
i think its B if it's a multiple choice i wouldn't need to do a step by step explanation.
Graph the inequality: –10 < t < 5
Answer:
no lo sé perdón buen día puto hgfhkghhhddj
Step-by-step explanation:
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find the value of a²+b
if...
a=-2 and b=5
Answer:
9
Step-by-step explanation:
a²+b
Substituting values,
=> (-2)^2+5
=> 4 + 5
=> 9
Answer:
9
Step-by-step explanation:
a² + bWhere we have :- a = -2 & b = 5
plug the values
= ( -2)² + 5= 4+ 5= 9What is the probability that if you combined your mnms, you would choose the following colors in order: Red, green, orange, yellow
Answer:
Step-by-step explanation:
1/1044
6/30 x 5/29 x 3/28 x 7/27 = 1/1044
Still trying to understand this help
Can I get some help?
Answer:
ok for this what we need to do is just do the equation
y=2x+3
with the x inserted
y=2*-2+3
y=-1
y=2*0+3
y=3
y=2*1+3
y=5
y=2*3+3
y=9
this is the answer from left to right
y=-1,y=3,y=5,y=9
donna has 40 ounces of an alloy containing 65% iron. How many ounces of a second alloy that is 42% iron should be mixed with the first alloy to get a new alloy this is 50% iron
40 oz of a 65% iron alloy contains 40 × 0.65 = 26 oz of iron.
x oz of a 42% alloy contains 0.42x oz of iron.
To end up with an alloy of 50% iron, Donna needs to use x oz of the 42% alloy such that
(26 + 0.42x) / (40 + x) = 0.50
Solve for x :
26 + 0.42x = 0.50 (40 + x)
26 + 0.42x = 20 + 0.50x
6 = 0.08x
x = 75
Here is a pattern made from sticks:
a)
How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Help needed I can’t figure this out.
Answer:
maybe like 12
Step-by-step explanation:
I would think 12 because because it is 2 of the square so I think 6 + 6 correct me of I'm wrong.
Use Venn diagrams notation to describe the shading of
A
B
Answer:
A ∩ B
Step-by-step explanation:
The shaded part is in common between the two diagrams
We can write this part in this way :
A ∩ B
Which of the following is most likely the next step in the series?
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The shape starts with 2 dots, then to 3 dots, and then to 4 dots. This means that the next step must have 5 dots, which option D has.
Form a ribbon length of 25 1/2 how many pieces can be cut in length of 3/4
Answẻ: 34
25 ½ :3/4 = 34
Answer:
Below.
Step-by-step explanation:
25 1/2 = 51/2
We divide this by 3/4 :
51/2 / 3/4
= 51/2 * 4/3
= 17*2
= 34
So we can cut 34 pieces of length 3/4.
Convert 10m in cm.
♡
Answer:
1000 cm
Step-by-step explanation:
Recall that 100 cm = 1 m.
This results in the conversion factor 100cm
-------------
1 m
Then 10 m times the conversion factor shown above yields 1000 cm
A cyclist travels 8 km from home to the park. She leaves home at 10:15 and arrives at the park at 10:30. What is her average speed in km/h?
Answer:
speed = 32km/hr
Step-by-step explanation:
Time
10:15 to 10:30 = 1/4 hr
speed = distance/time
speed = 8 / (1/4)
speed = 32km/hr
The circumference of the top rim of the cone shaped paper cut is 7.87 inches. Find the least amount of paper that can for a cone shaped cup
Answer:
14.55 square inches
Step-by-step explanation:
From the figure it is given that,
The circumference of the top rim of a cone shaped paper cut = 2πr = 7.87 inches
The slant height is l = 3.7 inch
Therefore the least amount of paper which can form a cone shaped cup is the surface area of the cone.
The surface area of the cone is given as :
[tex]$A=\frac{2 \pi r l}{2}$[/tex]
[tex]$A=\frac{(2 \pi r) (l)}{2}$[/tex]
[tex]$A = \frac{(7.87) \times (3.7)}{2}$[/tex]
[tex]$A=\frac{29.119}{2}$[/tex]
A = 14.55 square inches
Amount of paper required = 14.55 square inches
Which relation is a function?
O A. {(7, 8)(5,0)(-3, 1)(-5, 0)(-3, 2)}
B. {(0, 0)(1, 1)(4, 2)(9, 3)(16,4)}
O C. {(-4, 1)(-2, 2.5)(0, 4)(-4, -1)(-2, -2.5)}
OD. {(1, 0)(2, 1)(3, 2)(1, 3)(2, 4)}
Can some one help me with the rest of this chapter! I’ll pay them as-well!
Answers:
a = 475r = -0.5f(3) = 59.4=======================================================
Explanation:
Any exponential function is of the form y = a*b^x
Comparing that to y = 475*(0.5)^x, we see that a = 475 and b = 0.5
Set b equal to 1+r and solve for r
1+r = 0.5
r = 0.5-1
r = -0.5
The negative r value tells us that the growth rate is -50%, in other words, we have a 50% decay rate. The amount drops by 50% each time x goes up by 1. This is the same as saying the amount cuts in half each time x goes up by 1.
-----------------------
Lastly, plug in x = 3 to find f(3)
f(x) = 475(0.5)^x
f(3) = 475(0.5)^3
f(3) = 59.375
f(3) = 59.4
find h r=4 l=9
im lost
( 15points)Help!!! I need to finish this less than 10 minutes
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Okay! When you are ready, let me know what you need help with. Just comment this answer!
What is the question here?
You deposit $70 in a savings account that pays an annual interest rate
of 3%. How much simple interest would you earn in 2.5 years?
Answer:
I=70*.03*2.5
I=70*.075
I=$5.25 is the interest.
Step-by-step explanation:
The volume of a cylinder is 1280pi cm cubed. The radius is 8cm. Find the missing length.
If Z={x:x€ integrates -2<×<2}.List the elements of this set and also express it in description method.
Answer:
Z = {-1, 0, 1}
"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."
Step-by-step explanation:
I guess that here we have:
Z = {x : x ∈ integers / -2 < x < 2}
From this we know that:
Z contains only integer numbers.
Z contains only integer numbers that are larger than -2, and smaller than 2
Let's find these integers:
-1 is larger than -2 and smaller than 2
0 is larger than -2 and smaller than 2
1 is larger than -2 and smaller than 2
So our set is:
Z = {-1, 0, 1}
And in description method (just using words)
"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."
What is the perimeter of the shape?
2 yd
3 yd
5 yd
4 yd
2 yd
6 yd
Answer:
22 yards
Step-by-step explanation:
P = 5+2+3+4+2+6
P = 22
4 hamburgers cost $10.00 Fries cost $2 each. How much does ONE hamburger with fries cost?
A $14.10
B $12.00
C $4.50
D $3.50
Answer:
4.50
Step-by-step explanation:
divide 10 by 4. this equals 2.5, add the 2 dollars for fries and your answer is 4.5 dollars
PLEASE PLEASE HELP ME WITH THIS GEOMETRY QUESTION!!!
Step-by-step explanation:
Objective: Circle Theorems
The arcs add up to 360 and they are in proportion so
[tex]3x + 3x + 4x + 5x = 360[/tex]
[tex]15x = 360[/tex]
[tex]x = 24[/tex]
So this means that Arc AB and BC measure is 72 each. Arc CD measure is 96 and Arc DA measures is 120.
Angle 1 measure is a inscribed angle of Arc CD.
So it measures
[tex] \frac{96}{2} = 48[/tex]
Angle 2 is a inscribed angle of Arc AB so it measures
[tex] \frac{72}{2} = 36[/tex]
Angle 3 is a inscribed angle of Arc DA.
[tex] \frac{120}{2} = 60[/tex]
Angle 4 is a inscribed angle of Arc BC so it measures
[tex] \frac{72}{2} = 36[/tex]
Angle 5 is formed by tangent line ED. Since D lies on the circumference, it also is tangent to point e so it also measures 90 degrees.
Angle 4 measures 32 so Angle 5 is it complement to Angle 4.
[tex]32 + x = 90[/tex]
[tex]x = 58[/tex]
Angle 6 is formed by two intersecting chrods
so it measures
[tex] \frac{1}{2} (120+ 72) = 96[/tex]
PLEASE HELP! Find code (answer)
Answer:
so this is what I got (i could be wrong)-- H=8 G=21 F=24 E=2
Step-by-step explanation:
3(7+10) = G + 30
21 + 30 = G+30 (mutilpy-3 times 7 and 10)
minus 30 from both sides
21=G
5(3 + H) = 15 + 45
15 + 5H = 15 + 45 (multipy- 5 times 3 and H)
minus 15 from both sides
5H = 45
divde both sides by 5
H=8
For E all you have to do is list out all the multiples that makeup 22 and 30 and you should find that 2 is the answer
If f(x) - 4x2-3 and g(x) = x+1, find (f - g)(x).
O A. x - 4x2 - 2
O B. 4x - 3
O C. 4x2 - X-4
O D. 4x2 - X-2
Answer:
4x^2-x-4
Step-by-step explanation:
f(x) = 4x^2-3 and g(x) = x+1,
(f - g)(x)= 4x^2-3 -( x+1)
Distribute the minus sign
=4x^2-3 - x-1
Combine like terms
=4x^2-x-4
Answer:
C
Step-by-step explanation:
4x^2 - 3 - (x+1)
Distribute the -
4x^2 - 3 - x -1
=4x^2-x-4
So c
Can anyone help me with this question pls ! I would appreciate it !!
-
A great white shark swims 56 feet below sea level and is 97ft from the sail boat
What is the ANGLE OF DEPRESSION from the sail boat to the shark ?? ( round the the nearest WHOLE degree )
Answer:
35
Step-by-step explanation:
We use trignometry here
Assuming that the angle created between the surface of the sea and the 56feet below line is 90 degrees.
So we use the sin rule
sin90/97 = sin x/56
multiply 56 to the other side
56*sin90/97 = sin x
sin90=1
56/97 = sin x
x= sin^-1 (56/97)
x= 35.3
Round and you get 35